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Finding the Fourth Proportional to 203,947.80, 305,576.10 and 98,539.80

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Solution

The fourth proportional to 203,947.80, 305,576.10 and 98,539.80 is: 147,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,947.80 : 305,576.10 = 98,539.80 : x
  2. Step 2: Convert to fraction form
    203,947.80/305,576.10 = 98,539.80/x
  3. Step 3: Cross multiply
    203,947.80x = 305,576.10 × 98,539.80
  4. Step 4: Simplify right side
    203,947.80x = 30,111,407,778.78
  5. Step 5: Solve for x
    x = 30,111,407,778.78/203,947.80
  6. Step 6: Final answer
    x = 147,642.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.